Search a number
-
+
11200021101120 = 263511666688647
BaseRepresentation
bin1010001011111011010101…
…0001110111101001000000
31110122201012201122102002210
42202332311101313221000
52432000120400213440
635453115121542120
72234113651403535
oct242766521675100
943581181572083
1011200021101120
1136289a1a22755
12130a7804a4940
13633207c208a7
142aa12638ad8c
151465118eaa80
hexa2fb5477a40

11200021101120 has 56 divisors (see below), whose sum is σ = 35560066999104. Its totient is φ = 2986672293376.

The previous prime is 11200021101109. The next prime is 11200021101151. The reversal of 11200021101120 is 2110112000211.

11200021101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11200021101096 and 11200021101105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5833343364 + ... + 5833345283.

Almost surely, 211200021101120 is an apocalyptic number.

11200021101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200021101120 is an abundant number, since it is smaller than the sum of its proper divisors (24360045897984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11200021101120 is a wasteful number, since it uses less digits than its factorization.

11200021101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11666688667 (or 11666688657 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11200021101120 its reverse (2110112000211), we get a palindrome (13310133101331).

The spelling of 11200021101120 in words is "eleven trillion, two hundred billion, twenty-one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 11666688647 23333377294 35000065941 46666754588 58333443235 70000131882 93333509176 116666886470 140000263764 175000329705 186667018352 233333772940 280000527528 350000659410 373334036704 466667545880 560001055056 700001318820 746668073408 933335091760 1120002110112 1400002637640 1866670183520 2240004220224 2800005275280 3733340367040 5600010550560 11200021101120